It will matter for yourself and for the companies that support user freedom. Sent from my Librem 5.
If you’re downloading 200 mb pages every time because you’re loading desktop pages on your phone, it’ll be pretty slow and inefficient.
Also PWAs can use local storage.
I expect that the real problem with using a Linux phone would be WhatsApp, Google Maps (the navigation part), OSMAnd. Telegram desktop maybe works.